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Finding the Third Proportional to 405,729 and 631,557

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Solution

The third proportional to 405,729 and 631,557 is: 983,080.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,729 : 631,557 = 631,557 : x
  2. Step 2: Convert to fraction form
    405,729/631,557 = 631,557/x
  3. Step 3: Cross multiply
    405,729x = 631,557 × 631,557
  4. Step 4: Simplify right side
    405,729x = 398,864,244,249
  5. Step 5: Solve for x
    x = 398,864,244,249/405,729
  6. Step 6: Final answer
    x = 983,080.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.